46137928444992 has 168 divisors, whose sum is σ = 133681701404160. Its totient is φ = 15212691394560.

The previous prime is 46137928444969. The next prime is 46137928445039. The reversal of 46137928444992 is 29944482973164.

46137928444992 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 7 + 92 + 8 + 4 + 449 + 92 = 666.

46137928444992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46137928444992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 46137928444992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51826609 + ... + 52709327.

It is an arithmetic number, because the mean of its divisors is an integer number (795724413120).

Almost surely, 2^{46137928444992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46137928444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66840850702080).

46137928444992 is an abundant number, since it is smaller than the sum of its proper divisors (87543772959168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46137928444992 is a wasteful number, since it uses less digits than its factorization.

46137928444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883721 (or 883708 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 46137928444992 in words is "forty-six trillion, one hundred thirty-seven billion, nine hundred twenty-eight million, four hundred forty-four thousand, nine hundred ninety-two".